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Mathematische Semesterberichte最新文献

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Tatiana Samrowski: Matherätsel (nicht nur) für Begabte der Klassen 4 bis 6 塔蒂娜·Samrowski:“马瑟普赛尔(不仅仅是)给四级到六级学生的特例。
Q4 Mathematics Pub Date : 2021-09-15 DOI: 10.1007/s00591-021-00309-4
K. Neeb
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引用次数: 0
Judith R. Goodstein: Einstein’s Italian Mathematicians – Ricci, Levi-Civita, and the Birth of General Relativity 朱迪思·r·古德斯坦:《爱因斯坦的意大利数学家——利玛窦、列维-奇维塔和广义相对论的诞生》
Q4 Mathematics Pub Date : 2021-08-31 DOI: 10.1007/s00591-021-00298-4
Christian Fleischhack
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引用次数: 0
Ulrich Felgner: Philosophie der Mathematik in der Antike und in der Neuzeit 乌尔里希·菲尔格纳:古希腊和现代时期数学哲学
Q4 Mathematics Pub Date : 2021-07-09 DOI: 10.1007/s00591-021-00304-9
Rainer Löwen
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引用次数: 0
Hendrik Kasten und Denis Vogel: Grundlagen der ebenen Geometrie – Eine zugängliche aber exakte Einführung in die ebene Geometrie 亨德里克·福尔和丹尼斯·冯:各级几何的基础,是一个方便的几何介绍
Q4 Mathematics Pub Date : 2021-05-06 DOI: 10.1007/S00591-021-00299-3
M. Hoffmann
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引用次数: 0
Monopoly 垄断
Q4 Mathematics Pub Date : 2021-05-05 DOI: 10.1007/s00591-021-00302-x
Matthias Müller, Raphael Thiele
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引用次数: 0
Ernst Kleinert: Mathematische Modelle des Kontinuums 连续数位模型
Q4 Mathematics Pub Date : 2021-04-23 DOI: 10.1007/s00591-021-00301-y
E. Weitz
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引用次数: 0
Felix Hausdorff: Gesammelte Werke. Band VI. Geometrie, Raum und Zahl, hg. von M. Epple (Berlin: Springer, 2021). ISBN 978-3-540-77838-7. XX 540 Seiten. 89,99 € Felix Hausdorff:收集。"几何、空间、数字,hg "冯。(柏林:Springer, 2021)书978-3-540-77838-7 .20年代540页. 89,99 €
Q4 Mathematics Pub Date : 2021-04-20 DOI: 10.1007/s00591-021-00300-z
K. Volkert
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引用次数: 0
Hausdorff’s forgotten proof that almost all numbers are normal 被遗忘的豪斯多夫证明几乎所有的数都是正常的
Q4 Mathematics Pub Date : 2021-01-31 DOI: 10.1007/s00591-021-00303-w
E. Weitz
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引用次数: 1
Intuition and exponential growth: bias and the roles of parameterization and complexity. 直觉和指数增长:参数化和复杂性的偏差和作用。
Q4 Mathematics Pub Date : 2021-01-01 Epub Date: 2021-08-25 DOI: 10.1007/s00591-021-00306-7
Martin Schonger, Daniela Sele

Exponential growth bias is the phenomenon that humans intuitively underestimate exponential growth. This article reports on an experiment where treatments differ in the parameterization of growth: Exponential growth is communicated to one group in terms of growth rates, and in terms of doubling times to the other. Exponential growth bias is much smaller when doubling times are employed. Considering that in many applications, individuals face a choice between different growth rates, rather than between exponential growth and zero growth, we ask a question where growth is reduced from high to low. Subjects vastly underestimate the effect of this reduction, though less so in the parameterization using doubling times. The answers to this question are more severely biased than one would expect from the answers to the exponential growth questions. These biases emerge despite the sample being highly educated and exhibiting awareness of exponential growth bias. Implications for teaching, the usefulness of heuristics, and policy are discussed.

指数增长偏差是人类直觉上低估指数增长的现象。本文报告了一个实验,在这个实验中,对生长参数化的处理是不同的:对一组用增长率表示指数增长,对另一组用翻倍表示指数增长。当采用倍增时,指数增长偏差要小得多。考虑到在许多应用中,个人面临着不同增长率之间的选择,而不是指数增长和零增长之间的选择,我们提出了一个问题,即增长从高降至低。受试者极大地低估了这种减少的效果,尽管在使用加倍时间的参数化中没有那么低估。这个问题的答案比指数增长问题的答案更有偏见。尽管样本受过高等教育,并表现出指数增长偏见的意识,但这些偏见还是会出现。对教学的影响,启发式的有用性和政策进行了讨论。
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引用次数: 4
Editorial. 社论
Q4 Mathematics Pub Date : 2021-01-01 Epub Date: 2021-10-15 DOI: 10.1007/s00591-021-00311-w
Ilka Agricola, Eva Müller-Hill
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引用次数: 0
期刊
Mathematische Semesterberichte
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